Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …

The Laplacian eigenvalue spectrum of a complex network contains a great deal of
information about the network topology and dynamics, particularly affecting the network …

Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

We give evidence that a population of pure contrarian globally coupled D-dimensional
Kuramoto oscillators reaches a collective synchronous state when the interplay between the …

Contagion processes have been proven to fundamentally depend on the structural
properties of the interaction networks conveying them. Many real networked systems are …

We introduce a new model consisting of globally coupled high-dimensional generalized limit-
cycle oscillators, which explicitly incorporates the role of amplitude dynamics of individual …

Increasing evidences have demonstrated the essentiality of many-body interactions in
modeling various systems in physics, biology, and social sciences. Control strategies are …

We have examined the synchronization and de-synchronization transitions observable in
the Kuramoto model with a standard pair-wise first harmonic interaction plus a higher order …

Many-body interactions between dynamical agents have caught particular attention in recent
works that found wide applications in physics, neuroscience, and sociology. In this paper we …

The Kuramoto model describes how coupled oscillators synchronize their phases as the
intensity of the coupling increases past a threshold. The model was recently extended by …